Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 332, 820, 91, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 332, 820, 91, 116 is 1
GCD(332, 820, 91, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 820, 91, 116 is 1
GCD(332, 820, 91, 116) = 1
Given Input numbers are 332, 820, 91, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 332, 820, 91, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 820, 91, 116 is 1.
Therefore, GCD of numbers 332, 820, 91, 116 is 1
Given Input Data is 332, 820, 91, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 91 is 7 x 13
Prime Factorization of 116 is 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(332, 820) = 68060
GCD(332, 820) = ( 332 x 820 ) / 68060
GCD(332, 820) = 272240 / 68060
GCD(332, 820) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 91) = 364
GCD(4, 91) = ( 4 x 91 ) / 364
GCD(4, 91) = 364 / 364
GCD(4, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 332, 820, 91, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 820, 91, 116?
GCD of 332, 820, 91, 116 is 1
2. Where do I get the detailed procedure to find GCD of 332, 820, 91, 116?
You can find a detailed procedure to find GCD of 332, 820, 91, 116 on our page.
3. How to find GCD of 332, 820, 91, 116 on a calculator?
You can find the GCD of 332, 820, 91, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.